**Publications of Project SFB1114 - C05**

**Publications in refereed journals**

- A. Mielke, M. Mittnenzweig:
*Convergence to equilibrium in energy-reaction-diffusion systems using vector-valued functional inequalities*. J. Nonlinear Sci., 2017. Submitted. ( Preprint ) - M. Heida
*Stochastic homogenization of rate-independent systems and applications*.

Continuum Mechanics and Thermodynamics May 2017, Volume 29, Issue 3, pp 853-894 ( Preprint ) - M. Heida and A. Mielke
*Averaging of time-periodic dissipation potentials in rate-independent processes*.

DCDS-S Discrete Contin. Dyn. Syst. 10 (6): 1303-1327, 2017 ( Preprint ) - M. Heida and Ben Schweizer
*Stochastic homogenization of plasticity equations*.

Accepted by ESAIM-COCV ( Preprint ) - M. Liero, A. Mielke, M. Peletier, D.R.M. Renger.
*On microscopic origins of generalized gradient structures. DCDS-S Discrete Contin. Dyn. Syst.*10 (1): 1-35, 2017 (Proceedings of STAMM 2014 in Poitiers). - M. Liero, A. Mielke, G. Savaré.
*Optimal entropy-transport problems and a new Hellinger--Kantorovich distance*. accepted by Invent. math.. ( Preprint ) - A. Mielke, R. Patterson, M. Peletier, M. Renger.
*Non-equilibrium thermodynamical principles for chemical reactions with mass-action kinetics.*Accepted by SIAM J. Appl. Math. (subm. Nov. 2016). ( Preprint ) - A. Mielke, D.R.M. Renger, M.A. Peletier:
*A generalization of Onsagers reciprocity relations to gradient flows with nonlinear mobility*. J. Non-Equil. Thermodyn. 141-149, 41(2), 2016. ( Preprint ) - M. Liero, A. Mielke, G. Savaré:
*Optimal transport in competition with reaction -- the Hellinger-Kantorovich distance and geodesic curves*. SIMA 2869-2911 48(4) 2016. - A. Mielke, R. Rossi, G. Savaré.
*Global existence results for viscoplasticity at finite strain.*Archive Rat. Mech. Analysis 227 (1). pp. 423-475.( Preprint ) - A. Mielke, R. Rossi, G. Savaré.
Balanced-Viscosity solutions for multi-rate systems.
*J. Phys., MURPHYS-HSFS Proc.*, eds. O. Klein et al., vol. 727 (1), article 012010, 26 pages, 2016. ( Preprint ) - E. Bonetti, E. Rocca, R. Rossi and M. Thomas
*A rate-independent gradient system in damage coupled with plasticity via structured strains*ESAIM: ProcS Volume 54, 54-69, 2016 ( Preprint ) - A. Mielke, J. Naumann.
Global-in-time existence of weak solutions to Kolmogorov's two-equation model of turbulence.
*Comptes Rendus Acad. Sci. Paris Ser. I*, 353: 321-326, 2015. - A. Mielke, T. Roubíček. Rate-Independent Systems: Theory and Application.
*Applied Mathematical Sciences*, Volume 193, XXII+660 pages, New York: Springer 2015.

**Preprints**

- M. Heida, S. Neukamm, M. Varga.
*Stochastic unfolding and homogenization*. ( Preprint ) - M. Heida, R. Kornhuber, L. Podlesny.
*Fractal homogenization of a multiscale interface problem*. ( Preprint ) - L. Donati, M. Heida, M. Weber, B. Keller.
*Estimation of the infinitesimal generator by square-root approximation*. ( Preprint ) - M. Heida: Convergences of square-root approximation scheme to Fokker--Planck operator. Submitted to M3as.( Preprint )
- F. Flegel, M. Heida and M. Slowik
*Homogenization theory for the random conductance model with degenerate ergodic weights and unbounded-range jumps*. ( Preprint ) - M. Heida and S. Nesenko
*Stochastic homogenization of rate-dependent models of monotone type in plasticity*. ( Preprint ) - P. Gussmann, A. Mielke. Linearized elasticity as Mosco-limit of finite elasticity in the presence of cracks.
*Adv. Calc. Var.*(subm. March 2017). WIAS preprint 2359. - M. Heida, D.R.M. Renger and R. Patterson
*The space of bounded variation with infinite-dimensional codomain*. ( Preprint )

Last modified: 2017-04-04 by Martin Heida